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Desert

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)
Total Submission(s): 300    Accepted Submission(s): 206


Problem Description
A tourist gets lost in the desert with n liters of water. He drinks positive integer units of water each day.

Write a program to calculate how many different ways the tourist can drink up the water.
 

Input
The first line contains the number of test cases $T(T\leq10)$.
Next $T$ lines contain the number $n(1\leq n\leq1000000)$ for each test case.
 

Output
Output consists of $T$ lines.
Each line contains the binary number which represents number of different ways to finish up the water specified in the test case.
 

Sample Input
1 3
 

Sample Output
100
 

Source
"巴卡斯杯" 中国大学生程序设计竞赛 - 女生专场
 

Hint

3 liters of water can be comsumed in four different ways show in the following.
1. 1 1 1
2. 1 2
3. 2 1
4. 3

If we write 4 in binary, it's 100.
 

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